Update: Yop was right. Therefore muon don't have reduced spinning frequency. It has gained a bigger mass by other means than by reducing spinning frequency. I'll "revamp" TOEBI accordingly.
You can check the basic facts about muon from Wikipedia. How does muon plays out in TOEBI which contains only one lepton family particle, electron? In general, contemporary particle physics makes the difference between leptons on how much their trajectories bend in a magnetic field, for example heavier particles' trajectories bend less.
According to experiments muon mass is approximately 206.768 times the electron mass. Another interpretation (based on TOEBI) is that muon is electron with reduced spinning frequency. Let's see how this interpretation plays out...
When electron interacts with a magnetic field the factor of interacting particles is
1/s. Now Berry wrote
We separately consider an electron-electron pair, a muon-electron pair and a muon-muon pair, each of them with the same separation distance and anti-parallel spinning direction. Then we can cancel and compare magnitudes. Experimentally the forces are found to be the same, so according to Second Law of TOEBI we must have
where I have introduced the mass ratio .
First of all, I would like to have a reference which states that those forces are equal and how the measurements are done. But let's forget that for a moment. The most interesting interaction happens between electrons creating the magnetic field and muon particle, and the force between single electron and muon is
Now contemporary particle physics says that the muon mass is 206.768 times the electron mass, so what would be the reduced spinning frequency which will generate such a "mass"? In order to create 206.768 times greater mass illusion electron have to interact that much weaker which means that
which gives us
Now, back to Berry's example. What kind of distance differences would give equal force measurements? Let's say that the distance between two electrons is 0.01 m, so we get force N. So, what would be the distance between electron and muon in order to generate the exact same force? That's easy
m and two muons would give
m. According to Berry forces should be exactly the same at the same distance, so references are needed.
Or what about the size of muon atoms? According to mainstream physics, the muons (same attraction, higher mass) have to have smaller orbitals, in agreement with experiments. According to your ideas (lower attraction, same mass), though, the orbitals would have to be larger. Bummer!
What prevents electrons from crashing into nucleus? According to TOEBI, it's the repulsion generated by FTEP flux originated from spinning (proton) electrons (see chapter Equilibrium State from Atom Model and Relativity). Naturally the same applies in case of muons, however, due to smaller spinning frequency, muons are able to get closer to nucleus than electrons.
The muon mass does not only affect its trajectory in magnetic fields. For example, if Mμ=Me, how come after decay there is an electron left plus a lot of energy? Where was the energy stored before the decay? Maybe in the spinning? Nope, because according to you, fμ<fe. Bummer!
What happens (according to TOEBI) at the moment when muon decays? Obviously it gains back its original spinning frequency due to its interactions with other particles. Increased spinning frequency causes the particle accelerate which leads at the end neutrino generation. This last chapter is a bit lousy due to my lack of research, sorry about that.